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                [AMPPZ2014]Pillars                </h1>
                <p>时间限制：5s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div>给定一个n*m的矩形，其中有f个2*2的障碍物，其中任意两个障碍物中心之间的欧几里得距离至少为6，</div>
<div>且每个障碍物的中心到边缘的距离至少为3。请找到一条从左下角(1,1)出发经过所有没有障碍物的点各</div>
<div>一次的且最后回到左下角的回路。</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>第一行包含三个整数n,m,f(1&lt;=n,m&lt;=1000且n,m都为偶数)。</div>
<div>接下来f行，每行两个整数x,y(1&lt;=x&lt;n,1&lt;=y&lt;m)，表示该障碍物左下角的坐标。</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>如果无解，输出NIE，否则第一行输出TAK，第二行输出方案。</div>
<div>方案包含n*m-4*f个字符，第i个字符表示第i步的移动方向，用G表示上，D表示下，L表示左，P表示右。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>12 6 2
3 3
9 3</pre><hr/><h3>样例输出</h3><pre>TAK
PPPPPPPPPPPGGGLDDLLLLLGPPGLLLDDLLLGGGPPPPPPPPPPGLLLLLLLLLLLDDDDD
</pre><hr/><h3>提示</h3><p><p><img src="../file/4148_0.jpg" width="334" height="192" alt="" />&nbsp;</p></p><hr/><h3>题目来源</h3><p>鸣谢Claris上传</p>
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